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Finding the Fourth Proportional to 53,857.44, 80,776.44 and 16,408.56

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Solution

The fourth proportional to 53,857.44, 80,776.44 and 16,408.56 is: 24,609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857.44 : 80,776.44 = 16,408.56 : x
  2. Step 2: Convert to fraction form
    53,857.44/80,776.44 = 16,408.56/x
  3. Step 3: Cross multiply
    53,857.44x = 80,776.44 × 16,408.56
  4. Step 4: Simplify right side
    53,857.44x = 1,325,425,062.33
  5. Step 5: Solve for x
    x = 1,325,425,062.33/53,857.44
  6. Step 6: Final answer
    x = 24,609.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.